4768010100 has 432 divisors, whose sum is σ = 18301745280. Its totient is φ = 1013990400.

The previous prime is 4768010099. The next prime is 4768010123. The reversal of 4768010100 is 10108674.

4768010100 = 600³ + 601³ + ... + 620³.

It is a happy number.

4768010100 is a `hidden beast` number, since 476 + 80 + 10 + 100 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7301374 + ... + 7302026.

Almost surely, 2^4768010100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9150872640).

4768010100 is an abundant number, since it is smaller than the sum of its proper divisors (13533735180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4768010100 is a wasteful number, since it uses less digits than its factorization.

4768010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4768010100 is about 69050.7791411509. The cubic root of 4768010100 is about 1683.1095682260.

Adding to 4768010100 its reverse (10108674), we get a palindrome (4778118774).

The spelling of 4768010100 in words is "four billion, seven hundred sixty-eight million, ten thousand, one hundred".